Approximation by interpolating polynomials in Smirnov-Orlicz class

Abstract

Let F be a bounded rotation (BR) curve without cusps in the complex plane C and let G : = int Gamma. We prove that the rate of convergence of the interpolating polynomials based on the zeros of the Faber polynomials F-n for (G) over bar to the function of the reflexive Smirnov-Orlicz class E-M (G) is equivalent to the best approximating polynomial rate in E-M (G).